Answer:
Magnitude = 4.056 m
Direction = 42.3⁰
Explanation:
The vector is resolved in terms of the vertical and horizontal components. Let's look each of these separately.
The vector 4.40 is directed East. This automatically becomes a horizontal component.
But we know that there is a vector 3.40 North West. The angle the vector makes with the horizontal is 61⁰.
Resolving the vectors should yield the horizontal and vertical components:
Horizontal components
The first component is 4.40 m
The second one is derived by resolving 3.40 to the horizontal like this 3.40 × - cos 61⁰ = -1.648 m
Adding the horizontal component gives 4.40 m + ( -1.648 m) = 2.752 m
Vertical components
Resolve 3.40 with the angle 61⁰ like this: vertical comp = 3.41 × sin 61
= 2.98 m
The magnitude is given by √[(2.98)²+ (2.752)²] = 4.056 m Ans
The direction us given by tan⁻¹ (2.98/2.752) = 42.3⁰ Ans
Answer:
18.33 Ns
Explanation:
As the pitch back speed has the opposite direction as before, the change in velocity would be
So the change in momentum of the ball would be the product of its velocity change and its mass
This is equals to the impulse acted on the ball by the bat, which is 18.33 Ns
Answer:
The greatest acceleration the man can give the airplane is 0.0059 m/s².
Explanation:
Given that,
Mass of man = 85 kg
Mass of airplane = 109000 kg
Distance = 9.08
Coefficient of static friction = 0.77
We need to calculate the greatest friction force
Using formula of friction
Where, m = mass of man
g = acceleration due to gravity
Put the value into the formula
We need to calculate the acceleration
Using formula of newton's second law
Put the value into the formula
Hence, The greatest acceleration the man can give the airplane is 0.0059 m/s².
Answer:
13 meters
Explanation:
Step one:
given
We are told that Nathalie leaves a history classroom and walks 3 meters North
Then travels another 10 meters south to an art classroom.
Required
The total distance.
Step two:
The total distance can be computed by summing up the 3 meter North distance traveled and the 10 meter south distance traveled
Total distance= 3+10= 13meters
Answer:
Convergent.
Explanation:
Just as oceanic crust is formed at mid-ocean ridges, it is destroyed in subduction zones. Subduction is the important geologic process in which a tectonic plate made of dense lithospheric material melts or falls below a plate made of less-dense lithosphere at a convergent plate boundary.
