Answer:
5.87 m, 75.5°
Explanation:
Let's say C is the resultant vector.
The x component is the sum of the x components of A and B.
Cx = Ax + Bx
Cx = 10.1 cos 60° + 7.3 cos 275°
Cx = 5.69
The y component is the sum of the y components of A and B.
Cy = Ay + By
Cy = 10.1 sin 60° + 7.3 sin 275°
Cy = 1.47
The magnitude is found with Pythagorean theorem, and the angle is found with trigonometry.
C² = Cx² + Cy²
C² = 5.69² + 1.47²
C = 5.87
θ = atan(Cy / Cx)
θ = atan(5.69 / 1.47)
θ = 75.5°
Answer:
Work done by the force is 1000 Joules
Explanation:
The relation ship between the variables is as follows:
(Work W) = (Force F) x (Displacement d) = (Mass m) x (Accelleration a) x (Displacement d)
so:
B.) occurs when an acid is dissolved in water
C.) occurs when a base is dissolved in water
d.) is a reaction between an acid and a base
The impulse-theorem states that the change in momentum of an object is equal to the impulse exerted on it
Explanation:
The impulse-theorem states that the change in momentum of an object is equal to the impulse exerted on it.
Mathematically, we have:
- The impulse is defined as the product between the force exerted (F) and the duration of the collision ():
- The change in momentum is equal to the product between the mass of the object (m) and the change in velocity ():
So, the theorem can be written as
This theorem can be proved by using Newton's second law. In fact, we know that
(1)
where a is the acceleration of the object. However, we can re-write the acceleration as the rate of change of velocity:
Therefore, (1) becomes:
And by re-arranging,
Which is exactly the formula of the impulse theorem.
Learn more about impulse and momentum:
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2)Two objects having their masses 3:5 are acted upon by two forces.The forces are in the ration of 5:3. find the ration in their accelerations.
PLEASE SHOW ALONG WITH STEPS (2)
3) A man pushes a box of mass 50 kg with a force of 80 N. What will be the acceleration of the box due to the force? what would be the acceleration if the mass were doubled?
PLEASE SHOW ALONG WITH STEPS(3)
4) How does the force of gravitation between two objects change when the distance between them is reduced to half.
PLEASE SHOW ALONG WITH STEPS (4)
5) Explain what happens to the force between two objects if:
A) the mass of one object is doubled?
B) the distance between the object is tripled.
PLEASE SHOW ALONG WITH STEPS (5)
6)How will the equations of motion for an object moving with a uniform velocity change?
PLEASE SHOW ALONG WITH STEPS (6)
7)The force of attraction between two bodies is 20N. Calculate the force between them when mass of each body as well as the distance between them are halved.
PLEASE SHOW ALONG WITH STEPS(7)
A) line segment AB is showing the cart traveling at 10 m/s.
B) Line segment CD is showing acceleration as the line has a straight increasing slope.
C) Line segment DE is showing the cart is traveling at a constant rate.
D) Line segment BC is showing acceleration as the cart is increasing its speed.
connexus! Answer b...
The answer is B.......