Answer:


Explanation:
P = 50 N
Q = 30 N
= Angle between the vectors = 
Resultant is given by

Angle of resultant

Magnitude of the resultant is 
Direction of the resultant is 
D) compounds and pure substances
because none of them are elements
Answer:
Part a)

Part b)

Explanation:
Force applied by the student on the box is 80 N at an angle of 25 degree
so here two components of the force on the box is given as




now in vertical direction we can use force balance for the box to find the normal force on it



now kinetic friction on the box opposite to applied force due to rough floor is given as


now the net force on the box in forward direction is given as


now the acceleration of the box is given as


Part b)
when box is pulled up along the inclined surface of angle 10 degree
now the two components of the force will be same along the inclined and perpendicular to inclined plane


now force balance perpendicular to inclined plane is given as


now the friction force opposite to the motion on the box is given as


now the net pulling force along the inclined plane is given as



now the box will decelerate and it is given as


Answer:
25m
Explanation:
Let's assume the Jeep attains a velocity of 36km/h ; a constant speed same with that of the car.
While the Jeep is accelerating to that speed, the car with that speed passes it.
Now we can calculate the time taken for the Jeep to attain the velocity of 36km/h on her constant acceleration.
This time is t = v/a; from Newton's Law of Motion:
a = V-U / t ; a-acceleration
V is final velocity = 36km/h
U is initial velocity 0 since the body starts from rest.
Hence t = 36000/3600 ÷ 4 = 2.5s
Note conversting from km/h to m/s we multiply by 1000/3600.
But the distance covered by the car while the Jeep just accelerates is
S = U × t = 10× 2.5 = 25m.
Note From Newton's law of Motion, distance for constant speed is defined as: U × t
Hence the Car would be 25m off the starting point just as the Jeep accelerates. It would overtake the Jeep when it just covers 25m from the Jeep starting point.