What is the mass of the cart with a constant net force of 200n is exerted to accelerate from rest to a velocity of 40m/s in 10 s.
Answers
Answer:
Force applied on the cart = 200 N.
Initial velocity = 0 m/s.
Final velocity = 40 m/s.
Time taken = 10 s.
Mass of the cart = ?
Acceleration = v-u/t
So, a = 40-0/10
⇒ a = 40/10
⇒ a = 4 m/s²
Now, Force = mass × acceleration
⇒ F = ma
⇒ m = F/a
⇒ m = 200/4
⇒ m = 50 kg
Hence, the mass of the cart = 50 kg.
So here,
Force is said to be ye product of mass and acceleration.
Acceleration is the rate of change of velocity.
Velocity is the displacement of the body per unit time.
Answer:
the required answer is 50 kg
GIVEN:
force, f= 200 N
initial velocity, u =0 m/ s
final velocity , v= 40 m/ s
time, t= 10 s
TO FIND:
mass of the cart , m
KEYS:
f.... force
a.... Acceleration
u.... initial velocity
v..... final velocity
t...... time
m.... mass
s..... displacement
FORMULAE:
according to Newton's second law of motion,
according to first equation of motion,
SOLUTION:
STEP 1: TO FIND ACCELERATION USING FIRST EQUATION OF MOTION.
acceleration, a = 4m/s^2
STEP 2: TO FIND MASS
ANSWER:
the mass of the cart is 50 kg.
OTHER FORMULAE:
FIRST EQUATION OF MOTION
v= u+at
SECOND EQUATION OF MOTION
s=ut+(1/2)at^2
THIRD EQUATION OF MOTION
v^2-u^2=2as
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