Answer:
displacement = 2 m west
Explanation:
The displacement of an object is a vector connecting the final point of the motion of the object to the initial point, and its magnitude is equal to the length of the vector. So the magnitude of the displacement is basically the distance (measured in a straight line) between the final point and the starting point.
In this problem, we have:
- initial position of the acorn: 0 m
- final position of the acorn: 2 m west
So, the displacement has a magnitude of
d = 2 m - 0 m = 2 m
And the direction is west, since the final position is west compared to the initial position.
answer
77.25 N
explanation
(look at picture for free body diagram)
the force on the piano has both vertical and horizontal components, and since the questions asks about the force to lift the piano, we want to find the vertical component
we can use trigonometry where sinA = opposite/hypotenuse
A = 18 degrees
hypotenuse = 250 N
sin18 = opposite (vertical component) / 250
vertical component = sin18 * 250
= 77.25 N
Answer:
3.41334 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
m = Mass
Force

Acceleration of the cart is 0.387 m/s²

The cart will move 3.41334 m in 4.2 seconds
Answer:
Option B is correct.
Explanation:
The resistance of a material or wire is represented by the formula below.
R=(ρL)/A
where
- R is resistance of wire
- ρ is the resistivity of the material
- A is the cross sectional area of wire
- L is length of wire
Resistance increases with increase in length and resistivity which means options C and D are wrong.
A=(π
)/4
An increase in diameter will result in a proportional increase in area
From the resistance formula, an increase in area will cause a reduction in the resistance of the material.Thus increased diameter of wire will lower the resistance of wire. Option B is correct
Have a great day
W = m · g · h
h = 28.3 m · sin 45° = 28.3 m · 0.707 = 20 m
g = 9.8 m/s²
W = 75 kg · 9.8 m/s² · 20 m
Answer:
W = 14,700 J = 14.7 kJ