A 3.2 kg ball that is moving straight upward has 17 Joules of kinetic energy. The total mechanical energy is 25 Joules.
1 answer:
Answer:
h = 0.25 [m]
v = 3.26 [m/s]
Explanation:
In order to solve this problem, we must remember that mechanical energy is defined as the sum of kinetic energy plus potential energy.
E1 = Ek + Ep
where:
E1 = mechanical energy = 25 [J]
Ek = kinetic energy = 17 [J]
Ep = potential energy [J]
25 = 17 + Ep
Ep = 8 [J]
Now the potential energy is defined by the following equation:
Ep = m*g*h
where:
m = mass = 3.2 [kg]
g = gravity acceleration = 9.81 [m/s²]
h = elevation [m]
8 = 3.2*9.81*h
h = 0.25 [m]
The velocity can be calculated by means of kinetic energy.
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6 J is the impulse caused by the change in velocity of 2 kg box from 2 m/s to 5 m/s.
Answer:
The magnitude of impulse is 6 J.
Explanation:
Impulse is the force acting on any object for a given time interval. As force is equal to the product of mass and acceleration and acceleration is the rate of change of velocity with time. Then the product of force with time interval will be equal to the product of mass with change in velocity.
F = m a =
FΔt = mΔv
Impulse = FΔt=mΔv
As the mass of box is given as 2 kg and the velocity changes from 2 m/s to 5 m/s, then the impulse = 2 × (5-2) = 2 ×3 =6 J
So 6 J is the impulse caused by the change in velocity of 2 kg box from 2 m/s to 5 m/s.