Answer: Her velocity magnitude (v) relative to the shore is 5.70 km/h.
Explanation:
Let Q be the speed of the boat, and P be the speed of the river flow.
R represents the resultant velocity combining boat velocity and river current.
According to vector addition using the law of triangles:

From the diagram:
P = 3.5 km/h, Q = 4.5 km/h




Therefore, her velocity magnitude relative to the shore is 5.70 km/h.
Answer:
A = 4.76 x 10⁻⁴ m²
Explanation:
Given data:
Person's weight = 625 N
Bike's weight = 98 N
Pressure per tire = 7.60 x 10⁵ Pa
Find: Contact area per tire
Total system weight = 625 + 98 = 723 N
Let F represent the force supported by each tire
2F = 723 N
Therefore, F = 361.5 N
Using the formula F = P × A


Contact area, A = 4.76 x 10⁻⁴ m²
Answer:
b. 9.5°C
Explanation:
= Ice mass = 50 g
= Initial temperature of water and aluminum = 30°C
= Latent heat of fusion = 
= Water mass = 200 g
= Water's specific heat = 4186 J/kg⋅°C
= Aluminum mass = 80 g
= Aluminum's specific heat = 900 J/kg⋅°C
The equation governing heat exchange in the system is presented by

The final equilibrium temperature calculates to 9.50022°C
Response:D
Clarification:
Provided
mass of object 
Distance traveled 
resulting velocity 
energy conservation occurs starting when the object begins its descent and reaches a speed of 12 m/s
Initial Energy
Final Energy

where
is the work done by friction, if any


As friction is present, this indicates an open system with a net external force of zero.
An open system allows for the exchange of energy and mass, and the presence of friction indicates that it is indeed an open system.