(a) -1.208 m
The position of the particle at time t is given by
where:
is the initial position
is the initial velocity
is the acceleration
Substituting into the equation t=3.70 s, we find the position after 3.70 seconds:
(b) -0.838 m/s
The velocity of the particle at time t is given by:
where
is the initial velocity
is the acceleration
Substituting t = 3.70 s, we find the velocity after 3.70 seconds:
Answer:
Explanation:
The distance of Earth from the Sun is and of Mars from the Sun is . Let assume that both planets have circular orbits. The centripetal accelaration can be found by using the following expression:
Since planet has translation at constant speed, this formula is applied to compute corresponding speeds:
Earth:
Mars:
Now, centripetal accelarations can be found:
Earth:
Mars:
The ratio of Earth's centripetal acceleration to Mars's centripetal acceleration is:
W=Fd. Force is not given so we solve for it. F=ma, m=5kg, a=2m/s^2, F=10N. Distance is not given so we solve for it, x=.5a(t^2)=.5(2)(7x7)=49m. F=10N, d=49m, W=490J.
The dependent variable is the slime on Gary's shell, because it's depending on other factors (independent factors).