Photo AI

A block of wood slides with a constant velocity down a slope - Scottish Highers Physics - Question 3 - 2016

Question 3

A block of wood slides with a constant velocity down a slope. The slope makes an angle of 30° with the horizontal as shown. The mass of the block is 2.0 kg. The mag... show full transcript

Worked Solution & Example Answer:A block of wood slides with a constant velocity down a slope - Scottish Highers Physics - Question 3 - 2016

Step 1

Calculate the gravitational force acting on the block

96%

114 rated

Answer

The gravitational force (weight) acting on the block can be calculated using the formula:

$F_g = m imes g$

Where:

$m = 2.0 \, kg$ (mass of the block)
$g = 9.8 \, m/s^2$ (acceleration due to gravity)

Thus, $F_g = 2.0 \, kg \times 9.8 \, m/s^2 = 19.6 \, N$

Step 2

Calculate the component of the gravitational force parallel to the slope

99%

104 rated

Answer

The component of the gravitational force acting parallel to the slope can be found using:

$F_{ ext{parallel}} = F_g \times \sin(\theta)$

Where:

$\theta = 30°$

Thus, $F_{ ext{parallel}} = 19.6 \, N \times \sin(30°) = 19.6 \, N \times 0.5 = 9.8 \, N$

Step 3

Determine the force of friction acting on the block

96%

101 rated

Answer

Since the block is moving with constant velocity, the force of friction must equal the component of the gravitational force parallel to the slope:

$F_f = F_{ ext{parallel}} = 9.8 \, N$

Thus, the magnitude of the force of friction acting on the block is 9.8N, which corresponds to option C.

Join the Scottish Highers students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;