Question

A body of weight 100N is moving on
a straight line with constant
velocity 25m/s , after 0.25 sec the
velocity becomes 50 m/s , find the
force applied to achieve this
velocity and calculate change in
momentum also . (Take g =
10m/sec.sq.)

Answer 1

Aɴꜱᴡᴇʀ

Force=1000N

Change in Momentum =250 Impulse

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Gɪᴠᴇɴ

★ Mass=$\frac{100}{10}=10kg$

★Velocity after 0.25sec=50 m/s

★ Constant Velocity=25 m/s

★ u = 0m/s

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ᴛᴏ ꜰɪɴᴅ

➜find the

force applied to achieve this

velocity =?

➜calculate change in

momentum=?

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Sᴛᴇᴘꜱ

First let's find the acceleration of the body

$\\ \\ \red{\sf{} a = \frac{v-u}{t}}</p><p>\\ \\ \green{\sf{} a = \frac{50-25}{0.25}}$

$\\ \\ \pink{\sf{} a = \frac{25}{0.25}}</p><p>\\ \\ \blue{\sf{} a=100}$

$\begin{lgathered}\blue{As \: we \: know \: that} \\ \tt: \implies F = Ma \\ \\ \tt: \implies F = 10\times 100\\ \\ \green{\tt: \implies F= 1000N}$

$\blue {As \: we \: know \: that}\\ \tt: \implies F =\frac{\delta p}{\delta t}$

$\\ \tt: \implies \delta p=F×\delta t$

$\\ \tt: \implies \delta p=1000×0.25$

$\\ \tt: \implies \delta p=250$

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Some related formulas :-

$\blue{\sf{}s = ut +\frac{1}{2}a{t}^{2}}$

$\blue{\sf{}\sf {v}^{2} - {u}^{2} = 2as}$