Question

a block of mass 1400kg is moving with a velocity of 15m/s.a resistance force of 250N and an acceleration force of 600N acts on it. find the distance traveled by the truck in 10sec​

Answer 1

Cᴏʀʀᴇᴄᴛ Qᴜᴇsᴛɪᴏɴ

• a truck of mass 1400kg is moving with a velocity of 15m/s.a resistance force of 250N and an acceleration force of 600N acts on it. find the distance traveled by the truck in 10sec

_____________________

Aɴsᴡᴇʀ

we have,

• mass of the truck, m = 1400 kg
• initial velocity, u = 15 m/s
• resistive force, f1 = -250N (opposite direction)
• accelerating force, f2 = 600N

[ resistive force = force acting opposite to velocity of the object, so resistive force is taken as negative]

here,

net force = resistive force + accelerating force

• F = f1 + f2

➪ F = -250N + 600N

➪ F = 350 N

and we know that,

• force = mass × acceleration

• F = ma

➪ 350 = 1400 × a

➪ a = 1400/350

➪ a = 4 m/s²

now, we have to find distance traveled by the truck in 10 Seconds;

by second equation of motion

s = ut + ½ at²

➪ s = 15 × 10 + ½ × 4 × (10)²

➪ s = 150 + ½ × 4 × 100

➪ s = 150 + 2 × 100

➪ s = 150 + 200

➪ s = 350 m

so, distance traveled by the truck in 10 seconds is 350m