The resultant of the acceleration can be found using:
a = √(ax² + ay²)
a = √(1.5² + 3.7²)
a = 3.99 m/s²
v = u + at, u = 0
v = 3.99 x 6.4
v = 25.5 m/s
Answer:
8.1Ns
Explanation:
Impulse is expressed as the product of Force and time
Impulse = Ft
F is the force = 180N
Get the time using the equation of motion
v = u+at
18 = 0+F/m(t)
18 = 180/0.45(t)
18 = 400t
t = 18/400 secs
Recall that;
Impulse = Ft
Impulse = 180×18/400
Impulse = 8.1Ns
Hence the impulse imparted to the ball is 8.1Ns
Answer:
The voltage across the capacitor decreases by a factor of 2.
Explanation:
As we know that capacitor is initially charges by battery connected across it
so we have
now capacitor is disconnected
so charge on the capacitor is conserved
Now a dielectric is inserted between the plates of the capacitor
So we will have
now the new voltage across the plates of capacitor is given as
so voltage between the plates of capacitor is decreased by factor of "k"
Answer:
c).
Explanation:
As we know that weight of the automobile is given here
so weight = mass times gravity
now from Newton's law
Answer:
Force, F = 77 N
Explanation:
A child in a wagon seem to fall backward when you give the wagon a sharp pull forward. It is due to Newton's third law of motion. The forward pull on wagon is called action force and the backward force is called reaction force. These two forces are equal in magnitude but they acts in opposite direction.
We need to calculate the force is needed to accelerate a sled. It can be calculated using the formula as :
F = m × a
Where
m = mass = 55 kg
a = acceleration = 1.4 m/s²
F = 77 N
So, the force needed to accelerate a sled is 77 N. Hence, this is the required solution.