The answer is 570 J. The kinetic energy has the formula of 1/2mV². The total work in this process W= 1/2m(V2²-V1²) = 1/2 * 15.0 * (11.5²-7.50²) = 570 J.
Answer:
Before:


After:




Explanation:
<u>Conservation of Momentum</u>
Two objects of masses m1 and m2 moving at speeds v1o and v2o respectively have a total momentum of

After the collision, they have speeds of v1f and v2f and the total momentum is

Impulse J is defined as

Where F is the average impact force and t is the time it lasted
Also, the impulse is equal to the change of momentum

As the total momentum is conserved:


We can compute the speed of the second object by solving the above equation for v2f

The given data is


a) The impulse will be computed at the very end of the answer
b) Before the collision


c) After collision

Compute the car's speed:


And the car's momentum is

The Impulse J of the system is zero because the total momentum is conserved, i.e. \Delta p=0.
We can compute the impulse for each object

The force can be computed as

The force on the car has the same magnitude and opposite sign
Answer:
The atmospheric pressure is
.
Explanation:
Given that,
Atmospheric pressure
drop height h'= 27.1 mm
Density of mercury 
We need to calculate the height
Using formula of pressure

Put the value into the formula



We need to calculate the new height




We need to calculate the atmospheric pressure
Using formula of atmospheric pressure

Put the value into the formula


Hence, The atmospheric pressure is
.
A) 13.2 m
The motion of the skier is a projectile motion, which consists of two independent motions:
- a horizontal motion with constant speed
- a vertical motion with constant acceleration
(acceleration of gravity) downward
To find the maximum height of her trajectory, we are only concerned with her vertical motion.
The initial vertical velocity upward is

then we can use the following SUVAT equation:

where
is the final vertical velocity, which is zero at the maximum height
is the initial vertical velocity

h is the maximum height
Solving for h,

B) 1.64 s
The time needed to reach the highest point can be found by analyzing again the vertical motion only. In fact, we can use the following SUVAT equation:

where


At the maximum height, the vertical velocity is zero:

So we can solve the equation to find the corresponding time:
