5. A truck starts from rest and rolls down a hill with a constant
acceleration. It travels a distance of 400 m in 20 s. Find its
acceleration. Find the force acting on it if its mass is
7 tonnes (Hint: 1 tonne = 1000 kg.)प्लीज आंसर आधे घंटे में दे दीजिए
Answers
Answer:
Given data:
Mass of stone(m)=7000 kg
Distance(S)=400 meter
Time(t)=20 second
1) We have to find the acceleration of the truck
So from the equation of motion S=ut+
2
1
a×t
2
, whereu=0
S=
2
1
a×t
2
a=
t
2
2×S
=
20×20
2×400
=2
sec
2
m
2) Force acting on truck
So,from newton's 2
nd
law of motion
F
=ma=7000×2=14000N=14kN
Step-by-step explanation:
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Answer: 14000 N
Given parameters
Initial velocity (u) = 0
Distance travelled (s) = 400 m
Time taken (t) = 20 s
1 metric ton = 1000 kg
7 metric ton = 7 × 1000 = 7000 kg
∴ Mass (m) = 7000 kg
We know the formula
s=ut+12at2
Substitute the given parameters in the above equation
400 = 0 + ½ a (20)2
400 = a × 400/2
400 = 200 × a
a = 2 m/s2
Acceleration is equal to 2 m/s2
Force (F) = Mass (m) × Acceleration (a)
Substitute the values of mass and acceleration in the above equation, we get
F = 7000 × 2
F = 14000 n
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