Consider a ball with mass m = 50 kg. The ball is at rest
Question # 00123658
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Updated on: 10/25/2015 02:06 AM Due on: 11/24/2015
Question 1 of 7
15.0 Points
Consider a ball with mass m = 50 kg. The ball is at rest on a cliff 328 feet above the ground. (A)
Derive an equation that describes the potential energy of the ball as a function of time after it
falls off the cliff. (B) How much kinetic energy (in Joules) does the ball have 2.1 seconds after it
falls?
2- A 1,110 kg cannon loaded with a 25.0 kg shell is rolling down a 45 degree hill at 15 m/s. A
shell is fired from the cannon. The cannon recoils with a speed of 12 m/s. How far will the shell
travel in 30 seconds?
3- A physics student throws a rock, with mass of 100 g against a brick wall at a velocity of 45
m/s. The rock splits into three pieces when it hits the wall – the first piece has a mass of 10 g,
the second piece has a mass of 20 grams and the third piece has a mass of 70 g. The 10 g
piece is traveling at 1 m/s and the 20 g piece is traveling at 3 m/s. What is the velocity of the 70
g piece?
4- A rectangular piece of metal has dimensions 5 m x 10 m x 1 m. The metal is made of up of
90% iron (ρ = 7.86 g/cm3) and 10% nickel (ρ = 8.9 g/cm3). What is the total mass of the
rectangular piece of metal?
5- Consider a tank that weighs 980 N at rest on a conveyor belt. The belt on the conveyor is
moving horizontally at 1 ft/sec. The conveyor belt is driven by a motor that provides a time
dependent force, in Newtons, described as F(t) = 1000 + 0.25t. (A) How much work was done
on the tank? (B) What was the change in potential energy of the tank?
6- A 200 kg car moving to the right and traveling at 10 m/s collides with a 250 kg truck traveling
at 15 m/s which is also moving to the right. The collision causes the cars to stick together. During
the collision, the bumpers of both cars (so, 2 bumpers) are thrown off onto the road. Each
bumper weighs 10 N. What is the resulting speed of the car and truck that are now stuck
together?
7 - A force of 20.0 N is used to push a box 30 m across a level horizontal floor. The box weighs
10 N. What is the velocity of the box?
15.0 Points
Consider a ball with mass m = 50 kg. The ball is at rest on a cliff 328 feet above the ground. (A)
Derive an equation that describes the potential energy of the ball as a function of time after it
falls off the cliff. (B) How much kinetic energy (in Joules) does the ball have 2.1 seconds after it
falls?
2- A 1,110 kg cannon loaded with a 25.0 kg shell is rolling down a 45 degree hill at 15 m/s. A
shell is fired from the cannon. The cannon recoils with a speed of 12 m/s. How far will the shell
travel in 30 seconds?
3- A physics student throws a rock, with mass of 100 g against a brick wall at a velocity of 45
m/s. The rock splits into three pieces when it hits the wall – the first piece has a mass of 10 g,
the second piece has a mass of 20 grams and the third piece has a mass of 70 g. The 10 g
piece is traveling at 1 m/s and the 20 g piece is traveling at 3 m/s. What is the velocity of the 70
g piece?
4- A rectangular piece of metal has dimensions 5 m x 10 m x 1 m. The metal is made of up of
90% iron (ρ = 7.86 g/cm3) and 10% nickel (ρ = 8.9 g/cm3). What is the total mass of the
rectangular piece of metal?
5- Consider a tank that weighs 980 N at rest on a conveyor belt. The belt on the conveyor is
moving horizontally at 1 ft/sec. The conveyor belt is driven by a motor that provides a time
dependent force, in Newtons, described as F(t) = 1000 + 0.25t. (A) How much work was done
on the tank? (B) What was the change in potential energy of the tank?
6- A 200 kg car moving to the right and traveling at 10 m/s collides with a 250 kg truck traveling
at 15 m/s which is also moving to the right. The collision causes the cars to stick together. During
the collision, the bumpers of both cars (so, 2 bumpers) are thrown off onto the road. Each
bumper weighs 10 N. What is the resulting speed of the car and truck that are now stuck
together?
7 - A force of 20.0 N is used to push a box 30 m across a level horizontal floor. The box weighs
10 N. What is the velocity of the box?
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Rating:
/5
Solution: Consider a ball with mass m = 50 kg. The ball is at rest