Question

how much force is applied if a van which is 2500kg.Gains a speed of 12.0m/s after 6 seconds starting from rest

Answer 1

Answer on Question #43488, Physics, Mechanics | Kinematics | Dynamics

How much force is applied if a van which is 2500 kg. Gains a speed of 12.0 m/s after 6 seconds starting from rest.

Solution:

Data

m = 2500 kg

Vrest = 0 m/s

V = 12.0 m/s

t = 6 s

Second Newton's law

$$F = \frac {\Delta p}{t}$$

When the body standing at rest its momentum equals to zero

$$p = m V _ {r e s t} = 0$$ $$\Delta p = m \Delta V = m (V - V _ {r e s t}) = m V$$ $$F = \frac {m V}{t} = \frac {2 5 0 0 \cdot 1 2 . 0}{6} = 5 0 0 0 \mathrm {N}$$

Answer: F = 5000 N

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