Correct answer choice is :
C) Force
Explanation:
In physics, a force is any cooperation that, when unrestricted, will vary the motion of an object. A force can create an object with mass to alter its velocity to accelerate. Force can also be defined intuitively as a push or a pull. A force acting on an object may create the object to alter shape, to start moving, to stop moving, to stimulate or decelerate. When two objects communicate with each other they exert a force on each other, the forces are just in size but different in direction.
Set up a proportion
1 mile/1.6 km = 20,000miles/x
Cross Multiply
x = (20,000) * (1.6)
x = 32,000 kilometers
U=70 , v= 0, t=35, a=?
v=u+at
0=70+a(35)
-70=35a
a=-2m/s^2
Decelerate 2ms^-2 or acceleration is -2ms^-2
Say the horizontal component of the velocity is vx and the vertical is vy.
Initially at t=0 (as the mug leaves the bar) the components are v0x and v0y.
Obviously (I hope!) v0y = 0.
The equations for horizontal and vertical projectile motion (with the positive direction up) are
x = x0 + v0x t
y = y0 + v0y t - 1/2 g t^2 = y0 - 1/2 g t^2
Now choose the origin to be the end of the counter. x0=0 and y0=0. The equations simplify to
x = v0x t
y = - 1/2 g t^2
You know that x = 1.20m when y = -0.88m
From the y equation (and g=10 m/s^2) you can calculate the time that the mug hits the floor.
t = 0.420s
From the x equation we get the initial horizontal velocity
v0x = x/t = 1.2/0.42 = 2.86 m/s
(b) x-component of velocity is constant since there are no horizontal forces so vx = 2.86 m/s
y-component is given by v = u+at with u=0 and a=-g
vy = -gt = -4.2m/s
Now tan(angle) = vy/vx so angle = arctan(vy/vx)
Before finding the volume, it is always good to change the units as same.
length 25cm
height 25cm
width 100cm
volume
length * height * width
25 * 25 * 100
62500 cm^3