An 18-kg bicycle carrying a 62-kg girl is traveling at a speed of 7 m/s. What is the kinetic energy of the girl
1 answer:
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Answer:
time taken with speed 23 km/h will be 1.8 hours or 1 hour 48 minutes
Explanation:
Given:
Time is inversely proportional to the speed
mathematically,
t ∝ (1/r)
let the proportionality constant be 'k'
thus,
t = k/r
therefore, for case 1
time = 3 hr
speed = 14 km/hr
3 = k/14
also,
for case 2
let the time be = t
r = 23 km/h
thus,
we have
t = k/23
on dividing equation 2 by 1
we get
or
or
t = 1.8 hr = or 1 hour 48 minutes ( 0.8 hours × 60 minutes/hour = 48 minutes)
1. B. T
The period of a simple pendulum is given by:
(1)
where
L is the length of the pendulum
g is the gravitational acceleration
From the formula, we notice that the period of the pendulum does not depend on the mass of the bob. Therefore, when the bob's mass is doubled, the period does not change.
2. C: sqrt(6)*T
In this case, the pendulum is brought to the moon, where the gravitational acceleration is
If we substitute this value into the equation for the period (1), we find the new period of the pendulum:
3. B: It will no longer oscillate because there is no gravity in space
Explanation:
The motion (oscillation) of the pendulum is caused by the force of gravity, which "pulls" the bob towards the equilibrium position. If there is no gravity, then there is no force acting on the bob, therefore the pendulum can no longer oscillate.
So, the correct answer is
B: It will no longer oscillate because there is no gravity in space