During a circus act, an elderly performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of 39.0 kg and its horizontal component of velocity is 6.50 m/s just before the 65.0 kg performer catches it. If the performer is initially motionless on nearly frictionless roller skates, what is his speed immediately after catching the cannon ball

Answers

Answer 1

Answer:

[tex]2.4375\ \text{m/s}[/tex]

Explanation:

[tex]m_1[/tex] = Mass of cannon ball = 39 kg

[tex]m_2[/tex] = Mass of performer = 65 kg

[tex]u_1[/tex] = Initial horizontal component of cannon ball's velocity = 6.5 m/s

[tex]u_2[/tex] = Initial horizontal component of performer's velocity = 0

v = Velocity of combined mass

As the momentum of the system is conserved we have

[tex]m_1u_1+m_2u_2=(m_1+m_2)v\\\Rightarrow v=\dfrac{m_1u_1+m_2u_2}{m_1+m_2}\\\Rightarrow v=\dfrac{39\times 6.5+0}{39+65}\\\Rightarrow v=2.4375\ \text{m/s}[/tex]

The speed of the performer immediately after catching the cannon ball is [tex]2.4375\ \text{m/s}[/tex].


Related Questions

A storage tank has the shape of an inverted circular cone with height 15 m and base radius of 5 m. It is filled with water to a height of 11 m. Find the work required to empty the tank by pumping all of the water to the top of the tank. (The density of water is 1000 kg/m3. Assume g = 9.8 m/s2 is the acceleration due to gravity. Round your answer to the nearest integer.) g

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Answer:

THE CORRECT ANSWER FOR THIS KS

Explanation:

STOP USING THIS APP FOR ANSWERS U KNOW NOTHING

Astronauts living on the International Space Station have zero gravitational acceleration.

True
False

Answers

True I think sorry if not correct, I only want to help :)

A bug starts at point A, crawls 8.0 cm east, then 5.0 cm south, 3.0 west, and 4.0 cm north to point B.

Question:
How far north and east is B from A?

Find the displacement of the turtle from the origin at the point.​

Answers

Answer:

5cm east& 1cm west from A

Explanation:

https://brainly.ph/question/2753392

The total distance travelled by bug is 19 cm while the displacement of the bug is  5.1 cm.

Given here,

A bug stat to crawl from point A

8 cm to east

5 cm to south

3.0 to west

4.0 cm north reach the point B,

Displacement:

It is the shortest distance between two point or the length of strait line between two points.

Therefore, the total distance travelled by bug is 19 cm while the displacement of the bug is  5.1 cm.

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A roller-coaster car has a mass of 1240 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 22 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) FN on the car from the track if the car's speed is v = 8.7 m/s? (b) What is FN if v = 20 m/s? Use g=9.81 m/s2.

Answers

Answer:

a)      N = 7.90 10³ N,  b) N = -1.04 10⁴ N

Explanation:

a) For this exercise we can use Newton's second law

             N -W = m (-a)

The relationship is centripetal, the negative sign of the acceleration is because it points towards the center of the circle

              a = v² / r

we substitute

             N = mg -m v² /r  

             N = m (g - v² /r)

let's calculate

v = 8.7 m / s

             N = 1240 (9.81 - 8.7²/22)

             N = 7.90 10³ N

b) v = 20 m / s

             N = 1240 (9.81 - 20²/22)

             N = -1.04 10⁴ N

How much power does motor provides an elevator in a building when the total mass when loaded is 500 kg to a height of 3m in 25 seconds?

Answers

I don’t know...I just need points...sorry

In what way does water change when condensation occurs?

from gas to liquid

from liquid to solid

from liquid to gals

from solid to liquid

Answers

from gas to liquid

please mark brainliest

If your water heat has an efficiency of 95 percent, how much energy would it take to heat 45kg of water from 23 C to 60 C. (The specific heat of water is 4.18 J/g/C.) Please show your work

Answers

Answer: 6611.715 joules

Explanation:

Q = MxCxdeltaT = 6959.7 which is 100%

95% = 6611.715

A screw-jack used to lift a bus is a
A) first order lever
B) second order lever
C) pulley
D) screw

Answers

second order lever broski

If a spring extends by 3 cm when a 4 N weight is suspended from it, find the extension
when the weight is changed to
(a) 8 N
(b) 10 N
(c) 14

Answers

A - 6cm
B - 7.5cm
C - 10.5cm

Which subatomic particle identifies the element?

A.
protons

B.
electrons

C.
neutrons

D.
atomic mass

Answers

a. protons.ekgfsbdbsi

Answer:

A. Protons

Explanation:

Atomic number is an indicator of how many protons an element possesses in its nucleus. We use atomic number to identify an element. For example, carbon has 6 protons and an atomic number of 6.

Help please :)

X-ray waves are transmitted by ....... ?

Answers

Answer:

im not sure maybe viberation

Explanation:

Answer:

X-ray waves are transmitted by ....... body tissues with very little absorption

Hope it helps

Please mark me as the brainliest

Thank you

Two automobiles, each of mass 1000 kg, are moving at the same speed, 20 m/s, when they collide and stick together. In what direction and at what speed does the wreckage move (a) if one car was driving north and one south (b) if one car was driving north and one east?
A. The wreckage after collision is moving at the speed 18 m/s to the south.
B. The wreckage after collision is moving at the speed 9.0 m/s to the north.
C. The wreckage after collision is moving at the speed 9.0 m/s to the south.
D. The wreckage after collision is moving at the speed 18 m/s to the north.
E. The wreckage after collision is motionless.

Answers

Answer:

The reckage after collision is motionless (E)

Explanation:

The first law of thermodynamics states that energy is neither created nor destroyed but is converted from one form to another.

The kind of collision described in the question above is known as a perfectly inelastic collision, and in this type of collision, the maximum kinetic energy is lost because the objects moving in opposite directions have a resultant momentum that is equal, but in opposite directions hence they cancel each other out.

The calculation is as follows:

m₁v₁ + m₂v₂

where:

m₁ = m₂ = 1000kg

v₁ = 20 m/s

v₂ = -20 m/s ( in the opposite vector direction)

∴ resultant momentum = (1000 × 20) + (1000 × -20)

= 20000 - 20000 = 0

∴ The reckage after collision is motionless

Answer:

The wreckage after collision is moving at the speed 18 m/s to the south.

Explanation:

A car can go from 0 m/s to 27 m/s in 4.5 seconds. If a net force of 6600 N acted on the car, what is its mass? (Hint: You must first calculate the acceleration then plug into Newton’s second law.)

Answers

Answer:

1100 kg

Explanation:

acceleration:

[tex]a=(27-0)/4.5[/tex]

[tex]a=6ms^{-2}[/tex]

Newton's second law:

[tex]F=ma[/tex]

[tex]6600=6m\\m=1100 kg[/tex]

HELP me please cause I don't understand it.

Answers

Answer:

Force = 0.49 N (Approx)

Explanation:

Given:

Mass = 50 grams = 0.05 Kg

Acceleration = 9.81 m/s²

Find:

Force

Computation:

Force = Mass x Acceleration

Force = 0.05 x 9.81

Force = 0.4905

Force = 0.49 N (Approx)

True or False
1. When a person is sensory deprived it means that they shut their eyes and still
their mind in order to focus on one thing.

Answers

Answer:

True

Explanation:

"a process by which someone is deprived of normal external stimuli such as sight and sound for an extended period of time, especially as an experimental technique in psychology."

Quote by G o o g l e

An airplane has a momentum of 8.55 x 107 kg.m/s[S] and a velocity of 900 km/h[S]. Determine the mass of the airplane.

Answers

95000kg is the mass of the airplane.

What is momentum?

A property of a moving body that the body has by virtue of its mass and motion and that is equal to the product of the body's mass and velocity.

It is also known as the property of a moving body that determines the length of time required to bring it to rest when under the action of a constant force.

Mathematically ,

p = mv

According to the question,

Momentum of airplane =  8.55 x 10⁷ kg.m/s

Velocity of airplane =  900 km/h

Computing the values in the formula,

p = mv

8.55 x 10⁷ kg.m/s =  m x  900 km/h

m =[tex]\frac{8.55 * 10^7 kg.m/s}{900 km/h}[/tex]

m = 95000 kg

Therefore ,

The mass of the airplane 95000 kg

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19. In a turtle race, a 20 kg turtle moves with a velocity of 0.1 m/s. What is the kinetic energy of the turtle?

A. 20 J

B. 0.2 J

C. 0.1 J

Answers

Answer:
C
Explanation:
KE=1/2mv^2
KE=1/2(20)(0.1)^2
0.1^2= 0.01
KE= 1/2(20)(0.01)
KE= 0.1 J

A student lifts her 15-kg backpack from the ground to her shoulder raising it 1.5 meters. Determine the work she does to life the backpack

Answers

Answer:
22.5 J
Explanation:
W=fd
W=(15)(1.5)
W= 22.5 J

If a 15 N box is lifted a distance of 3 m, how much work is done?

0 J

45 J

5 J

5 N

Answers

Answer:

W=45J

Explanation:

W=Fd

W=15(3)=45

W=45J

A spring stretches 5 cm when a 300-N mass is suspended from it. Calculate the spring constant in N / m .

Answers

Answer:

Spring constant in N / m = 6,000

Explanation:

Given:

Length of spring stretches = 5 cm = 0.05 m

Force = 300 N

Find:

Spring constant in N / m

Computation:

Spring constant in N / m = Force/Distance

Spring constant in N / m = 300 / 0.05

Spring constant in N / m = 6,000

The (BLANK) island were where Darwin made many important observations.

Answers

Answer:

I know theirs South American coast he was there a lot

An instructor wishes to determine the wavelength of the light in a laser beam. To do so, she directs the beam toward a partition with two tiny slits separated by 0.180 mm. An interference pattern appears on a screen that lies 5.30 m from the slit pair. The instructor's measurements show that two adjacent bright interference fringes lie 1.60 cm apart on the screen. What is the laser's wavelength (in nm) ?

Answers

Answer:

λ = 5.434 x 10⁻⁷ m = 543.4 nm

Explanation:

To solve this problem we can use the formula provided by Young's Double Slit experiment:

[tex]\Delta x = \frac{\lambda L}{d}\\\\\lambda = \frac{\Delta xd}{L}[/tex]

where,

λ = wavelength of light = ?

Δx = distance between adjacent bright fringes = 1.6 cm = 0.016 m

d = slit separation = 0.18 mm = 0.00018 m

L = Distance between slits and screen = 5.3 m

Therefore,

[tex]\lambda = \frac{(0.016\ m)(0.00018\ m)}{5.3\ m}[/tex]

λ = 5.434 x 10⁻⁷ m = 543.4 nm

You push a 1.5 kg ball across a desk for 2 seconds, so that 10 J of work have been done. How much power was produced?

Answer

Answers

Answer:

i need help with the same question

Explanation:

how many electrons can occupy each sublevel?

Answers

S sublevel can hold 2
P sublevel can hold 6
D sublevel can hold 10
F sublevel can hold 14

Each vertical line on the graph is 1 millisecond (0.001 s) of time. What is the period and
frequency of the sound waves?
Help me!!!!!

Answers

Answer:

1000 Hz

Explanation:

please mark me as brainliest

Netwtons 1st law of motion

Answers

Answer:

Newton's first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. This postulate is known as the law of inertia.

Explanation:

it takes a cheetah just 3s to reach its top speed of 30m/s what is it's acceleration​

Answers

The acceleration will be "10 m/s²".

Given values are:

Speed,

v = 30 m/s

Time,

t = 3 s

As we know,

→ [tex]Acceleration = \frac{Speed}{Time}[/tex]

or,

→                   [tex]a = \frac{v}{t}[/tex]

By substituting the values,

                       [tex]= \frac{30}{3}[/tex]

                       [tex]= 10 \ m/s^2[/tex]

Thus the above solution is correct.    

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The potential energy of an apple is 6.0 joules. The apple is 3m high. What is the mass of the apple?

Answers

Answer:

0.204 kg

Explanation:

6/(9.8*3)

6/29.4=0.204

9.8 represents gravity

An alumium rod when measured with a steel scale both being at 25 degree celcius appears to be 1 meter long. If the scale is correct at 0 degree celcius, what is the true length of the rod at 25 degree celcius? What wull be the length of rod at 0 degree celcius?​

Answers

Given:
temperature at which the rod is measured= 25°
length of aluminium rod measured at 25°C= 1 meter
temperature at which the scale is correct= 0°C
Linear expansivity of steel= 12* 10^-6
linear expansivity of aluminum= 26* 10^-6
To find:
True length of rod at 25°C
Length of rod at 0°C
Solution:
Let the length of the aluminum and steel rod at 0°C be L0A and L0S respectively.
Length of the steel scale at 25°C , thermal expansion is:
LA25 = LA0(1+ (αS - αA)25)
LA0 = LA25/ (1+ (αS-αA)t)
LA0 = 100/ (1+ (12*10^-6 - 26*10^-6)25)
LA0 ≈ 100.05 cm at 0°C
2. Let the length at 25°C of the aluminium trod be LA25
The actual measure of aluminum rod at 25°C, will be
LA25 = 100 * (1+ 26* 10^-6*25)
LA25 ≈ 100.06 cm

what's the difference between kinetic energy, potential energy, and mechanical energy?

Answers

Answer:

potential energy is stationary, with stored energy to be released; kinetic energy is energy in motion, actively using energy for movement.

Explanation:

https://taraenergy.com/blog/potential-and-kinetic-energy-explained/#:~:text=The%20main%20difference%20between%20potential,actively%20using%20energy%20for%20movement.

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