Answer:
Vx = 35 x cos(13deg)
Vy = 35 x sin(13deg) - gt
(g is acceleration due to gravity =~9.8 meter/second^2, t is time in second)
Explanation:
The tiger leaps up, then x and y component of its velocity are:
Vx = Vo x cos(alpha)
Vy = Vo x sin(alpha) - gt
(Vo is tiger's initial velocity, alpha is angle between its leaping direction and horizontal plane)
Hope this helps!
A shadow forms on the side of an object that faces away from the sun. The length of shadows changes as Earth rotates. In the morning, the sun is low in the eastern sky and shadows are long. As time passes in the morning, the sun seems to move higher in the sky.
Answer:
The gravitational potential energy between two particles, if the distance between them is halved, is multiplied by 4 (option c).
Explanation:
The gravitational force is the force of mutual attraction that two objects with mass experience.
The Law of Universal Gravitation enunciated by Newton says that every material particle attracts any other material particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them. Mathematically this is expressed as:
![F=G*\frac{m1*m2}{r^{2} }](https://tex.z-dn.net/?f=F%3DG%2A%5Cfrac%7Bm1%2Am2%7D%7Br%5E%7B2%7D%20%7D)
where m1 and m2 are the masses of the objects, r the distance between them and G a universal constant that receives the name of constant of gravitation.
If the distance between two particles is reduced by half, then, where F' is the new value of the gravitational force:
![F'=G*\frac{m1*m2}{(\frac{r}{2} )^{2} }](https://tex.z-dn.net/?f=F%27%3DG%2A%5Cfrac%7Bm1%2Am2%7D%7B%28%5Cfrac%7Br%7D%7B2%7D%20%29%5E%7B2%7D%20%7D)
![F'=G*\frac{m1*m2}{\frac{(r )^{2} }{2^{2} } }](https://tex.z-dn.net/?f=F%27%3DG%2A%5Cfrac%7Bm1%2Am2%7D%7B%5Cfrac%7B%28r%20%29%5E%7B2%7D%20%7D%7B2%5E%7B2%7D%20%7D%20%7D)
![F'=G*\frac{m1*m2}{\frac{(r )^{2} }{4} }](https://tex.z-dn.net/?f=F%27%3DG%2A%5Cfrac%7Bm1%2Am2%7D%7B%5Cfrac%7B%28r%20%29%5E%7B2%7D%20%7D%7B4%7D%20%7D)
![F'=4*G*\frac{m1*m2}{r^{2} }](https://tex.z-dn.net/?f=F%27%3D4%2AG%2A%5Cfrac%7Bm1%2Am2%7D%7Br%5E%7B2%7D%20%7D)
F'=4*F
<u><em>
The gravitational potential energy between two particles, if the distance between them is halved, is multiplied by 4 (option c).</em></u>
Answer:
6.2N force
Explanation:
According to Newton's second law of motion, force is equal to the product of the mass of a body and its acceleration. Mathematically,
Force = mass × acceleration
Given mass of bucket of water = 6.2kg
acceleration of the bucket = 1m/s²
Force exerted on the rope = 6.2 × 1
= 6.2N
Answer:
Eastward, at 11 m/s^2
Explanation:
64N-31N=unbalanced force of 33N
F=ma
33N=(3kg)a
a=11m/s^2 to the East