Answer:
tair = 11.5 s
vi = 60.3 m/s
Explanation:
In the x direction:
Given:
x₀ = 0 m
x = 600 m
v₀ = v cos 30° = v √3/2
a = 0 m/s²
x = x₀ + v₀ t + ½ at²
600 = 0 + (v √3/2) t + ½ (0) t²
600 = √3/2 v t
1200/√3 = v t
In the y direction:
Given:
y₀ = 300 m
y = 0 m
v₀ = v sin 30° = v/2
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
0 = 300 + (v/2) t + ½ (-9.8) t²
0 = 300 + 1/2 v t − 4.9t²
Substitute:
0 = 300 + 1/2 (1200/√3) − 4.9t²
0 = 300 + 600/√3 − 4.9t²
4.9t² = 300 + 600/√3
t = 11.5 s
Solve for v:
v t = 1200/√3
v = 60.3 m/s
Graph:
desmos.com/calculator/1syounu0cg
The force of gravity on the object is 14.47 N
Explanation:
The weight of an object (which is the force of gravity experienced by an object) at a certain location is given by
where
m is the mass of the object
g is the acceleration of gravity at the location of the object
IN this problem, we have:
m = 24.52 kg (mass of the object)
(acceleration of gravity on Pluto)
Substituting, we find the force of gravity on the object:
Learn more about forces and weight:
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#LearnwithBrainly
I don’t know, which statement ahh I see white screen lol
False... motion is a change in position. Not direction
<h3>
Answer:</h3>
1.5 m/s²
<h3>
Explanation:</h3>
We are given;
Force as 60 N
Mass of the Cart as 40 kg
We are required to calculate the acceleration of the cart.
- From the newton's second law of motion, the rate of change in momentum is directly proportional to the resultant force.
- That is, F = ma , where m is the mass and a is the acceleration
Rearranging the formula we can calculate acceleration, a
a = F ÷ m
= 60 N ÷ 40 kg
= 1.5 m/s²
Therefore, the acceleration of the cart is 1.5 m/s²
