(a) The change in momentum of the trunk is 19800 kgm/s,
(b) The force exerted on the trunk is 3960 N
Change in momentum:
The can be defined as the product of the mass of a body and its change in velocity. The S.I unit of change in momentum is kgm/s
(a) To calculate the change in momentum of the trunk, we use the formula below.
Formula:
- ΔM = m(v-u)............... Equation 1
Whee:
- ΔM = change in momentum of the trunk
- m = mass of the trunk
- v = final velocity of the trunk
- u = initial velocity of the trunk.
From the question,
Given:
- m = 5500 kg
- v = 7.8 m/s
- u = 4.2 m/s
Substitute these values into equation 1
- ΔM = 5500(7.8-4.2)
- ΔM = 5500(3.6)
- ΔM = 19800 kgm/s.
(b) To calculate how large is the force was exerted on the trunk, we use the formula below.
Formula:
- F = ΔM/t................. Equation 2
Where:
- F = Force exerted on the trunk
- t = time.
From the question,
Given:
Substitute into equation 2
Hence, (a) The change in momentum of the trunk is 19800 kgm/s, (b) The force exerted on the trunk is 3960 N
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